MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

According the the nLab, the category of compactly generated (CG) spaces is not locally cartesian closed. So if $A$ is a CG space and $C$ a CG space above $A$, $C$ may not be exponentiable.

What if we require that $C$ is fibrant over $A$?
If $C\to A$ is a (Serre) fibration, is $C$ exponentiable in the category of CG spaces above $A$?

share|cite|improve this question
    
I doubt it. (-: – Mike Shulman Dec 5 '11 at 8:28

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.